Recent content by TheForumLord

Thanks a lot!

Hmmmm... How did you prove that this integral convergs? (I mean the integral: \int_{0}^{0.5} \frac{1}{xln^{2}x} dx ) ... I think this is what is missing for my proof... Thanks for the fast reply!

Homework Statement Check whether the integral \int_{0}^{\infty}\frac{arctanx}{xln^{2}x}dx converges. Homework Equations The Attempt at a Solution The problematic points are: 0, 1, \infty . So I said: \int_{0}^{\infty}\frac{arctanx}{xln^{2}x}dx =...

I'm sure indeed...I had no typos in this one... But the an's can be also zero or something...

Homework Statement Let f be analytic at the complex plane excapt for z= -1 and z=3 which are simple poles of f. Let \Sigma_{-\infty}^{-1} a_{n}(z-2)^{n} be the Laurent series of f. In part A I've found that the series converges at 1<|z-2|<3 . B is: Find the coeefficients a_{n} of the...

Thanks

Dear Mark44... My english is pretty lame indeed but in this particular case, writing calculus in a wrong way was just a typing mistake - which can occur to anyone... I didn't know how to write Upper case sigma in Latex so please don't judge me...

That's excatly what I can't understand...how can I find the eadius of con. in this specific case? tnx

Well, B is completely understandable... About A->I need to show it's continuous using power-series theorems...If I'll prove that the given power-series is convergeing uniformly to g - I'll be done...I've no idea about it... I'll be delighted to get some help Thanks!

Homework Statement A. Let g(x)= \sigma\frac{1}{sqrt(n)}(x^{2n}-x^{2n+1}) Prove g(x) is continuous in [0,1]. B. Let f be a function such as f(0)=1 and there's a neighouhood of x=0 in which : f ' (x)= 1+(f(x))^{10} . Find the MacLorin Polynom of degree 3 of f(x). Homework...

Thanks a lot! You have any idea about the first one?

Well... We've found a condition for x and z ... But we can show that for different choices for a,c - A and Z won't commute... Hence - > x=z=0 and y can be defined to be any integer...Hence- all of the elements in the center are from the form: Z = I + \begin{pmatrix} 0 & 0 & y \\ 0 & 0 & 0 \\...

Well, let's see: If we'll define : D_{n} = ( 1, s , s^{2} ,..., s^{n-1} , a, sa, s^{2}a ,..., s^{n-1}a ) Then the generators of Dn are a and s (where s is a rotation, a = symmetry ) ... How can we continue from here? About the second one: According to your guidace, we only need to...

Homework Statement 1. Let Dn be the dihedral group of order 2n, n>2 . A. Prove that each non-commutative sub-group of Dn isomorphic to Dm for some m. B. Who are all the non-commutative subgroups of D12? 2. Let G be the group of all the matrices from the form: 1 a c 0 1 b 0 0...

Well...The weird thing is that 3 of the statements on the list are true...It doesn't fit the regular profile of our lecturer...But guess he chose to be nice :) TNX a lot!